GCF of 7796/837, 5653/5719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7796/837, 5653/5719 i.e 1/4786803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7796/837, 5653/5719.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7796/837,5653/5719?
Given fractions are 7796/837,5653/5719
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7796/837,5653/5719, numerators are 7796,5653
Denominators are 837,5719
The GCF of 7796,5653 is 1 .
LCM of 837,5719 is 4786803.
The greatest common factor of 7796/837,5653/5719 = [GCF of 7796,5653]/[LCM of 837,5719]= 1/4786803
Therefore, the GCF of 7796/837,5653/5719 is 1/4786803.
To find the highest common factor of 7796,5653, we have to find the factors of both numbers and list the highest common factor.
The factors of 7796 are 1, 2, 4, 1949, 3898, 7796
The factors of 5653 are 1, 5653
The HCF of 7796,5653 is 1.
Lets's calculate GCF of 7796,5653
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7796,5653 By Matching Biggest Common Factor Method
Now, list down the factors of 7796
:1,2,4,1949,3898,7796
Now, list down the factors of 5653
:1,5653
Greatest Common Factor
We found the factors 7796,5653 . The biggest common factor number is the GCF number.
So the greatest common factor 7796,5653 is 1.
Lets's calculate LCM of 837,5719
Given numbers has no common factors except 1. So, there LCM is their product i.e 4786803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4786803
Therefore, the GCF of Fractions 7796/837,5653/5719 is 1/4786803
Least Common Multiple of 837,5719 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 837,5719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,5719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(837,5719) x common factors =1 x 1 = 1
LCM(837,5719) = ( 837 × 5719 ) / 1
LCM(837,5719) = 4786803 / 1
LCM(837,5719) = 4786803
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FAQs on GCF of Fractions of 7796/837, 5653/5719
1. What is the HCF of 7796,5653?
The HCF of 7796,5653 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7796/837, 5653/5719?
Answer: GCF of Numerators as per given numbers 7796/837, 5653/5719 is
GCF of Numerators i.e. for 7796,5653 is 1
LCM of denominators i.e. for 837,5719 is 4786803.
Thus, GCF of Fractions is 1/4786803.Finally, GCF of Fractions for 7796/837, 5653/5719 is 1/4786803.